I think part of what is going on is that many forms of tribal allegiance are either defined by or illustrated by shared beliefs (e.g. our religion is right, our sports team is the best, our political stance is correct, etc.). So, repeatedly correcting someone has not just a simple status hit to it but an implicit attack on someone's loyalty and an undermining of tribal allegiance. Note that this is to some extent simply a variation of the status hypothesis. Both the simple status hypothesis and this one predict that people will respond better to corrections if they are given in a less public situation which seems to be true.
For miscellaneous discussions and remarks not suitable for top-level posts even in the Discussion section, let alone in Main.
(Naturally, if a discussion gets too unwieldy, celebrate by turning it into a top-level post, just like in the good old days.)